The somewhat obvious thing you seem to be missing there is that the money isn’t being extracted by force.
Everyone will require healthcare at some point, and at the points where you need the most you can't go do some window shopping and price comparison. Why make it more difficult, cumbersome, expensive, and bureaucratic? Ideologues can be rather illogical.
Less sick people is better in general for a society, not only socially but also economically speaking, do you agree with this statement?
I agree with the statement as you present it, all other things being equal.